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Number Riddles With Variables on Both Sides

Written by Adi Ackerman, Head Teacher

"Number Riddles With Variables on Both Sides" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.C.7.B. A 7th grader who is already steady on algebra can use it too, and an older student can use it as a short review.

Popular with 8th Grade teachers · Downloaded 447 times
Number Riddles With Variables on Both Sides
Number Riddles With Variables on Both Sides

8th grade math worksheet: turn 8 number riddles into equations, such as four times my number plus 9 is six times it minus 7. Answer key included. Part of our equation puzzles algebra collection. Aligned to Common Core standards.

How do I use this worksheet?

Use a puzzle sheet as a warm up or review after the multi-step and both-sides sheets. The riddle sheets are a bridge to word problems.

What students will practice

  • Students will translate number riddles into equations with n on both sides.
  • Students will solve each equation in the box.
  • Students will find the number for 8 riddles.


Curriculum Links

Common Core State Standards

Expressions and Equations · 8th Grade

8.EE.C.7.B

Standard: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

View all 8.EE.C.7.B worksheets →

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FAQ

How do I use this equation puzzles worksheet?

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Use a puzzle sheet as a warm up or review after the multi-step and both-sides sheets. The riddle sheets are a bridge to word problems.

What does this worksheet teach?

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Turn 8 number riddles into equations, such as four times my number plus 9 is six times it minus 7. The directions on the page read: Let n be the number. Write and solve an equation in the box, then write n. An answer key is included.

Can I use this equation puzzles worksheet for homeschool or classroom?

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Yes, both. We made it for 8th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

How do equation puzzles help students check their work?

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Each answer feeds the puzzle. A wrong solution breaks the domino loop, spells the wrong word or shades the wrong cell. Students see right away that something needs a second look.

How do you solve consecutive integer problems?

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Let n be the least integer. Consecutive integers are n, n + 1 and n + 2, and consecutive odd or even integers are n, n + 2 and n + 4. Add them, set the sum equal to the total and solve.

How do you set up an age riddle?

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Make a table with ages now and at another time, using x for one age. Add or subtract the same years for each person, then write an equation from the sentence. Age Riddles Solved With Equations has six riddles.

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Worksheet Details

Grade8th Grade
SubjectMath
TopicAlgebra
Standard8.EE.C.7.B
Pages1 page
DifficultyMedium

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